Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bn |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
482241600000000 = 212 · 34 · 58 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25008,-1087488] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:544:1] |
Generators of the group modulo torsion |
j |
27027009001/7535025 |
j-invariant |
L |
5.6395664651449 |
L(r)(E,1)/r! |
Ω |
0.38764274766114 |
Real period |
R |
3.637090142781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989173 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4575f2 14640bj2 |
Quadratic twists by: -4 5 |